Geometric topology
Geometric topology is a discipline of mathematics. It looks at manifolds and embeddings. Examples are the Knot theory and Braid groups. Since 1945, the field of Topology has developed further:
Geometric Topology Media
A Seifert surface bounded by a set of Borromean rings; these surfaces can be used as tools in geometric topology
The Whitney trick requires 2+1 dimensions, hence surgery theory requires 5 dimensions.